Generalisation of q-Additive Functions

Authors: L. Mišík, Štefan Porubský
Publication year: 2025
Publication type: Článek v odborném periodiku
Periodical: Mathematica Slovaca
Bibliographic citation: MIŠÍK, L., PORUBSKÝ, Štefan. Generalisation of q-Additive Functions. Mathematica Slovaca. 2025, 75(3), 525-536. ISSN 0139-9918. E-ISSN 1337-2211
Dostupné z: doi:10.1515/ms-2025-0038.
DOI: 10.1515/ms-2025-0038
ID: 637187
Online record: View online record

Abstract

A new concept of the R-additive arithmetical function is introduced, generalizing the notion of the q-additive function. The properties of the R-additive arithmetical functions and their impact on the uniform distribution of sequences of the weighted sum-of-digits functions of elements of sequences generated by R-additive arithmetical functions are studied.